22430205005200 has 60 divisors (see below), whose sum is σ = 53889365296260. Its totient is φ = 8971949178880.

The previous prime is 22430205005149. The next prime is 22430205005237. The reversal of 22430205005200 is 250050203422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 149577109504 + 22280627895696 = 386752^2 + 4720236^2 .

It is a super-2 number, since 2×22430205005200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29292816 + ... + 30048784.

It is an arithmetic number, because the mean of its divisors is an integer number (898156088271).

Almost surely, 2^{22430205005200} is an apocalyptic number.

22430205005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22430205005200 is an abundant number, since it is smaller than the sum of its proper divisors (31459160291060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22430205005200 is a wasteful number, since it uses less digits than its factorization.

22430205005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830164 (or 830153 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 22430205005200 its reverse (250050203422), we get a palindrome (22680255208622).

The spelling of 22430205005200 in words is "twenty-two trillion, four hundred thirty billion, two hundred five million, five thousand, two hundred".